Arts (English Medium) Class 11 - CBSE Question Bank Solutions

Find the modulus  of  `(1+i)/(1-i) - (1-i)/(1+i)`

If (x + iy)³ = u + iv, then show that `u/x + v/y  =4(x^2 - y^2)`

Solve the given inequality graphically in two-dimensional plane: x + y < 5

Solve the given inequality graphically in two-dimensional plane: x – y ≤ 2

Solve the given inequality graphically in two-dimensional plane: –3x + 2y ≥ –6

Solve the given inequality graphically in two-dimensional plane: 3y – 5x < 30

Solve the given inequality graphically in two-dimensional plane: y < –2

Solve the given inequality graphically in two-dimensional plane: x > –3

Solve the inequality and represent the solution graphically on number line:

2(x – 1) < x + 5, 3(x + 2) > 2 – x

Solve the following inequalities and represent the solution graphically on number line:

3x – 7 > 2(x – 6), 6 – x > 11 – 2x

Solve the inequalities and represent the solution graphically on number line:

5(2x – 7) – 3(2x + 3) ≤ 0, 2x + 19 ≤ 6x + 47

A solution is to be kept between 68° F and 77° F. What is the range in temperature in degree Celsius (C) if the Celsius/Fahrenheit (F) conversion formula is given by `F= 9/8` C + 32?

A solution of 8% boric acid is to be diluted by adding a 2% boric acid solution to it. The resulting mixture is to be more than 4% but less than 6% boric acid. If we have 640 litres of the 8% solution, how many litres of the 2% solution will have to be added?

How many litres of water will have to be added to 1125 litres of the 45% solution of acid so that the resulting mixture will contain more than 25% but less than 30% acid content?